7 Jan 2022
Problem 50
Page 617
Section 8.7: Taylor and Maclaurin Series
Chapter 8: Infinite Sequences and Series
Textbook ExpertVerified Tutor
7 Jan 2022
Given information
The given integral is 
.
To find the value of the given integral using series to approximate the definite integral.
Step-by-step explanation
Step 1.
Write the Maclaurin series for 
.
.Since the radius of convergence is infinite, then this polynomial can be used for all values.
Substitute 
for 
into the equation.
for into the equation.
is already a polynomial so multiply it to the result of step 2 to find the Maclaurin series for the integrand.
Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805
Solutions
Chapter
Section
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